A new approach for solving nonlinear algebraic systems with complementarity conditions. Application to compositional multiphase equilibrium problems

• Published in: Mathematics and computers in simulation Vol. 190; pp. 1243 - 1274
• Main Authors: Vu, Duc Thach Son, Ben Gharbia, Ibtihel, Haddou, Mounir, Tran, Quang Huy
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.12.2021; Elsevier
• Subjects: Complementarity condition; Interior-point methods; Mathematics; Newton’s method; Numerical Analysis; Phase equilibrium; Unified formulation; Newton’s method; Interior-point methods; Unified formulation; Phase equilibrium; Complementarity condition; unified formulation; phase equilibrium; Newton's method; interior-point methods Mathematics subject classification 80M25; complementarity condition

We present a new method to solve general systems of equations containing complementarity conditions, with a special focus on those arising in the thermodynamics of multicomponent multiphase mixtures at equilibrium. Indeed, the unified formulation introduced by Lauser et al. (2011) has recently emerg...